Atkin-Lehner |
2+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
8624i |
Isogeny class |
Conductor |
8624 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-896756465191890688 = -1 · 28 · 711 · 116 |
Discriminant |
Eigenvalues |
2+ 2 -2 7- 11- 0 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,187556,33079488] |
[a1,a2,a3,a4,a6] |
Generators |
[6081:475398:1] |
Generators of the group modulo torsion |
j |
24226243449392/29774625727 |
j-invariant |
L |
5.3521902563657 |
L(r)(E,1)/r! |
Ω |
0.18773500463191 |
Real period |
R |
2.3757735302036 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4312e1 34496cv1 77616bp1 1232d1 |
Quadratic twists by: -4 8 -3 -7 |